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Finding the Fourth Proportional to 65,431.04, 98,019.84 and 39,156.48

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Solution

The fourth proportional to 65,431.04, 98,019.84 and 39,156.48 is: 58,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,431.04 : 98,019.84 = 39,156.48 : x
  2. Step 2: Convert to fraction form
    65,431.04/98,019.84 = 39,156.48/x
  3. Step 3: Cross multiply
    65,431.04x = 98,019.84 × 39,156.48
  4. Step 4: Simplify right side
    65,431.04x = 3,838,111,904.56
  5. Step 5: Solve for x
    x = 3,838,111,904.56/65,431.04
  6. Step 6: Final answer
    x = 58,658.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.